We use a paramagnetic salt TbF3 with a DC SQUID to search for possible
anomalous spin-spin interaction of two rotating Dy6Fe23 polarized bod
ies and two rotating HoFe3 polarized bodies with the TbF3 paramagnetic
salt. We set limits on the electron-electron spin interaction. In ter
ms of a standard dipole-dipole form, the limits are (1.2 +/- 2.0) x 10
(-14) for the anomalous spin-spin interaction of electrons in terms of
the interaction strength between the magnetic moments of the electron
s. Compared to previous results, this is a forty-fold improvement.